Two-Dimensional Motion: Master the Fundamentals with Interactive Quizzes

Question 1

A projectile is launched with an initial velocity of 10 m/s at an angle of 30° above the horizontal. What is the projectile's velocity at the highest point of its trajectory?

Accepted Answer

5 m/s, 30° above the horizontal

Answer

10 m/s, 30° above the horizontal

Answer

5 m/s, 60° above the horizontal

Answer

10 m/s, 60° above the horizontal

Question 2

A projectile is launched with an initial velocity of 50 m/s at an angle of 30° above the horizontal. Determine the horizontal component of its velocity.

Accepted Answer

43.3 m/s

Answer

25 m/s

Answer

50 m/s

Answer

2.5 m/s

Question 3

A car travels 50 km due north and then 20 km due east. Calculate the magnitude of the car's overall displacement.

Accepted Answer

60 km

Answer

30 km

Answer

50 km

Answer

70 km

Question 4

A force of 10 N is applied to an object with a mass of 2 kg. Calculate the acceleration of the object.

Accepted Answer

2 m/s²

Answer

5 m/s²

Answer

10 m/s²

Answer

20 m/s²

Question 5

A wave has a wavelength of 2 m and a frequency of 5 Hz. Calculate the speed of the wave.

Accepted Answer

10 m/s

Answer

5 m/s

Answer

2.5 m/s

Answer

1.0 m/s

Question 6

A ball is thrown horizontally from a height of 10 meters with a velocity of 10 m/s. What is the horizontal displacement of the ball after 2 seconds?

Accepted Answer

20 m

Answer

10 m

Answer

30 m

Answer

40 m

Question 7

A car travels north at a constant velocity of 20 m/s for 30 minutes. The car then turns east and travels for another 30 minutes at the same speed. What is the resultant displacement of the car?

Accepted Answer

900 m northeast

Answer

600 m north

Answer

600 m east

Answer

300 m northwest

Question 8

A car is traveling at a constant velocity of 20 m/s. A second car passes the first car at a velocity of 30 m/s. What is the relative velocity of the second car with respect to the first car?

Accepted Answer

10 m/s

Answer

20 m/s

Answer

30 m/s

Answer

40 m/s

Question 9

A particle moves along a straight line with a constant acceleration of 5 m/s^2. If the particle starts from rest, what is its displacement after 10 seconds?

Accepted Answer

100 m

Answer

50 m

Answer

150 m

Answer

200 m

Question 10

A ball is dropped from a height of 50 meters. What is the velocity of the ball just before it hits the ground?

Accepted Answer

30 m/s

Answer

10 m/s

Answer

20 m/s

Answer

40 m/s

Question 11

Two cars are traveling towards each other, one at a speed of 20 m/s and the other at a speed of 30 m/s. If they are initially 100 meters apart, what is the time until they collide?

Accepted Answer

3.3 s

Answer

2.5 s

Answer

5 s

Answer

10 s

Question 12

Which of the following is NOT a characteristic of projectile motion?

Accepted Answer

The acceleration of the projectile is constant in all directions.

Answer

The velocity of the projectile is always tangent to its trajectory.

Answer

The path of the projectile is a parabola.

Question 13

A car traveling at a speed of 20 m/s applies its brakes and comes to a complete stop in a distance of 50 m. What is the car's acceleration?

Accepted Answer

-4 m/s^2

Answer

4 m/s^2

Answer

-2 m/s^2

Answer

2 m/s^2

Question 14

A car travels 60 km north and then 30 km east. What is the magnitude of the car's net displacement?

Accepted Answer

67 km

Answer

64 km

Answer

30 km

Question 15

A car traveling at 30 m/s applies the brakes and comes to a stop in 5 seconds. What is the magnitude of the car's acceleration?

Accepted Answer

6 m/s²

Answer

3 m/s²

Answer

-6 m/s²

Answer

-3 m/s²

Question 16

A ball is thrown at an angle of 45° with respect to the horizontal. Which of the following statements about its initial horizontal and vertical velocities is correct?

Accepted Answer

Both the horizontal and vertical velocities are equal.

Answer

The vertical velocity is greater than the horizontal velocity.

Answer

The horizontal velocity is greater than the vertical velocity.

Question 17

A satellite orbits the Earth in a circular path. What is the primary force that keeps the satellite in orbit?

Accepted Answer

Gravitational force

Answer

Centrifugal force

Answer

Friction

Answer

Air resistance

Question 18

A vector has a magnitude of 10 units and forms an angle of 60° counterclockwise from the positive x-axis. What are the vector's x and y components?

Accepted Answer

(5, 8.66)

Answer

(-5, 8.66)

Answer

(-5, -8.66)

Answer

(5, -8.66)

Question 19

A car travels 50 km north and then 30 km east. Determine the magnitude of the car's displacement.

Accepted Answer

58.31 km

Answer

30 km

Answer

20 km

Answer

80 km

Question 20

A projectile is launched at an angle of 30 degrees above the horizontal with an initial velocity of 20 m/s. Find the horizontal component of its velocity.

Accepted Answer

17.32 m/s

Answer

20 m/s

Answer

15 m/s

Answer

10 m/s

Question 21

A projectile is launched with an initial velocity of (10 m/s, -5 m/s). Determine the angle of projection below the horizontal.

Accepted Answer

26.57 degrees

Answer

45 degrees

Answer

63.43 degrees

Answer

78.43 degrees

Question 22

A projectile is launched at an angle of 30° above the horizontal. What is the projectile's maximum height?

Accepted Answer

H = v₀² sin²θ / 2g

Answer

H = v₀² cos²θ / 2g

Answer

H = v₀² / 2g

Answer

H = v₀ sinθ / g

Question 23

Two objects have the same kinetic energy. Which object has the greater momentum?

Accepted Answer

The object with the greater mass

Answer

The object with the greater acceleration

Answer

The object with the greater velocity

Answer

Both objects have the same momentum

Question 24

A ball is dropped from a height of 20 meters. What is the ball's velocity just before it hits the ground?

Accepted Answer

v = (2gh)^1/2

Answer

v = 2gh

Answer

v = gh

Answer

v = (gh)^2

Question 25

A projectile is launched horizontally with an initial velocity of 120 m/s. What is the projectile's range?

Accepted Answer

R = v₀² / g

Answer

R = v₀ / g

Answer

R = gv₀²

Answer

R = 2v₀² / g

Question 26

A projectile is launched at an angle of 30 degrees to the horizontal with an initial velocity of 20 m/s. What is the horizontal component of its initial velocity?

Accepted Answer

17.32 m/s

Answer

28.28 m/s

Answer

5 m/s

Answer

10 m/s

Question 27

A ball is thrown horizontally from a height of 10 m with an initial speed of 15 m/s. What is the time it takes for the ball to reach the ground?

Accepted Answer

2.21 s

Answer

4 s

Answer

3 s

Answer

1.5 s

Question 28

A car traveling at a speed of 30 m/s applies the brakes, causing a constant acceleration of -5 m/s^2. How long does it take for the car to stop?

Accepted Answer

6 s

Answer

12 s

Answer

9 s

Answer

3 s

Question 29

A projectile is launched horizontally from a cliff with an initial horizontal speed of 20 m/s. Ignoring air resistance, what is the projectile's horizontal velocity 2 seconds later?

Accepted Answer

20 m/s

Answer

10 m/s

Answer

40 m/s

Answer

0 m/s

Question 30

A boat travels directly across a river at 10 m/s. The river is flowing at 5 m/s. What is the boat's resultant velocity (magnitude and direction) relative to the river bank?

Accepted Answer

11.2 m/s at 26.6° to the direction of the river flow

Answer

10 m/s at 0° to the direction of the river flow

Answer

15 m/s at 30° to the direction of the river flow

Answer

5 m/s at 90° to the direction of the river flow

Question 31

A ball is thrown vertically upward with an initial velocity of 15 m/s.  Assuming negligible air resistance, what is the ball's velocity at its highest point?

Accepted Answer

0 m/s

Answer

9.8 m/s

Answer

-15 m/s

Answer

15 m/s

Question 32

A hiker walks 5 km east and then 3 km north. What is the magnitude of the hiker's displacement (the straight-line distance from the starting point)?

Accepted Answer

5.8 km

Answer

8 km

Answer

10 km

Answer

2 km

Question 33

A plane flies due north at 200 km/h. A steady wind blows from the west at 50 km/h.  What is the plane's actual ground speed (the speed relative to the ground)?

Accepted Answer

206 km/h

Answer

250 km/h

Answer

200 km/h

Answer

150 km/h

Question 34

A projectile is launched at an angle of 30° above the horizontal. Which of the following statements about its motion is TRUE, assuming negligible air resistance?

Accepted Answer

The horizontal component of its velocity remains constant throughout its flight.

Answer

The projectile's acceleration is always directed vertically downwards.

Answer

The projectile's speed remains constant throughout its flight.

Answer

The vertical component of its velocity remains constant throughout its flight.

Question 35

Two vectors, A and B, have magnitudes of 5 units and 10 units, respectively. If the angle between them is 60°, what is the magnitude of the resultant vector A + B?

Accepted Answer

13.2 units

Answer

10 units

Answer

15 units

Answer

5 units

Question 36

A car travels 10 km east and then 5 km north. What is the car's displacement (the straight-line distance and direction from the starting point)?

Accepted Answer

11.2 km at 26.6° north of east

Answer

10 km at 0° north of east

Answer

15 km at 30° north of east

Answer

5 km at 90° north of east

Question 37

A ball is kicked at an angle of 45° to the horizontal with an initial speed of 10 m/s.  Assuming negligible air resistance, what is the maximum height reached by the ball?

Accepted Answer

2.55 m

Answer

5.1 m

Answer

10 m

Answer

1.28 m

Question 38

A projectile is launched with an initial speed of 50 m/s at an angle of 45° above the horizontal. What is the horizontal range of the projectile?

Accepted Answer

250 m

Answer

450 m

Answer

300 m

Answer

350 m

Question 39

A car travels a distance of 100 km in 2 hours. What is its average velocity during this time period?

Accepted Answer

50 km/h

Answer

25 km/h

Answer

75 km/h

Answer

100 km/h

Question 40

A car is traveling at a speed of 20 m/s when the brakes are applied, causing a uniform deceleration of 5 m/s². What is the distance traveled by the car before it comes to a complete stop?

Accepted Answer

40 m

Answer

60 m

Answer

20 m

Answer

80 m

Question 41

A ball is thrown from a tower with an initial velocity of 10 m/s at an angle of 30° above the horizontal. What is the ball's horizontal velocity after 0.5 seconds?

Accepted Answer

8.66 m/s

Answer

5 m/s

Answer

10 m/s

Answer

15 m/s

Question 42

A car is traveling at a speed of 20 m/s. It then accelerates at a rate of 5 m/s² for 5 seconds. What is the car's final velocity?

Accepted Answer

45 m/s

Answer

25 m/s

Answer

30 m/s

Question 43

A boat is traveling due east at a speed of 10 m/s. A wind begins blowing from the southeast at a speed of 5 m/s. What is the boat's new velocity?

Accepted Answer

12.99 m/s (at 56.3° north of east)

Answer

15 m/s (at 45° north of east)

Answer

10 m/s (at 30° north of east)

Question 44

A projectile is launched at an angle of 45° above the horizontal with an initial velocity of 20 m/s. What is the maximum height reached by the projectile?

Accepted Answer

10.1 m

Answer

15 m

Answer

5 m

Answer

20 m

Question 45

A ball is dropped from a height of 10 meters. What is the ball's velocity when it hits the ground?

Accepted Answer

14 m/s

Answer

15 m/s

Answer

5 m/s

Answer

10 m/s

Question 46

A car is traveling at a constant speed of 30 m/s on a circular track of radius 50 meters. What is the car's centripetal acceleration?

Accepted Answer

18 m/s²

Answer

50 m/s²

Answer

9 m/s²

Answer

30 m/s²

Question 47

A satellite is orbiting the Earth at a constant speed of 7500 m/s. The radius of the satellite's orbit is 6.6 x 10^6 meters. What is the satellite's period of revolution?

Accepted Answer

5.4 x 10³ seconds

Answer

8.6 x 10³ seconds

Answer

3.2 x 10³ seconds

Answer

1.0 x 10⁴ seconds

Question 48

A block slides down an inclined plane with a coefficient of friction of 0.2. The angle of the incline is 30 degrees. What is the acceleration of the block?

Accepted Answer

7.66 m/s^2

Answer

10 m/s^2

Answer

5 m/s^2

Answer

15 m/s^2

Question 49

A car is moving at a constant speed of 60 km/h. If the car's mass is 1200 kg, what is the magnitude of the force of friction acting on the car?

Accepted Answer

1333 N

Answer

1000 N

Answer

2000 N

Answer

1500 N

Question 50

A ball is thrown with an initial velocity of 20 m/s at an angle of 60 degrees above the horizontal. What is the range of the ball?

Accepted Answer

42.43 m

Answer

60 m

Answer

50 m

Answer

30 m